to Zug:
first of all, i never claimed to cite facts, i said i believe that to be true which directly implies that No, i didn't do my homework and No, i don't know for a fact if I am right or wrong. i simply do think, in the absence of other facts, that there are not more chess positions than atoms in the univese. so thanks for trying to point out mistakes, you've been very helpful.
second, i looked at your link and, though it doesn't include much detail, it looks like the calculation (of 10^120) does not calculate all possible chess positions, it calculates possible chess games. this means that if there are 2 identical positions reached by two different strings of moves, the calculation would count each position separately (inflating the numbers). again, not much detail, but it looks like there's a considerable amount of double counting in your calculation.
third, and this is my main point, i don't think you'll find one single credible scientist that says that anyone anywhere knows how many atoms there are in the universe. any number that you assumes represents every atom in the universe is so full of speculation as to be absurd and an idiotic placeholder making this an absurd and idiotic argument. there is no possible way anyone can know how many atoms are in the universe which is why i believe (strongly) that there are more atoms in the universe than possible chess positions. (let's not even get into the fact that your claculation is for the observable universe and the observable universe is expanding exponentially every day)
s7silver: while that is the number of atoms in the observable universe. However, the observable universe is only a tiny fraction of the entire universe, and the original "chess positions > atoms" statement had no mention of the observable universe.